The zeros of the polynomial p(x)=x(x−1)(x−2) are:
Verify whether the following are zeroes of the polynomial, indicated against them. (i) p(x)=3x+1,x=−13
(ii) p(x)=5x−π,x=45
(iii) p(x)=x2-1,x=1,−1
(iv) p(x)=(x+1)(x−2),x=−1,2
(v) p(x)=x2,x=0
Verify that (i) 1 and 2 are the zeros of the polynomial, p(x)=x2−3x+2. (ii) 2 and -3 are the zeros of the polynomial, q(x)=x2+x−6. (iii) 0 and 3 are the zeros of the polynomial, r(x)=x2−3x.
If alpha ,beta are the zeros of the polynomial P(x)=x^2-p(x+1)-c such that (alpha+1)(beta+1)=0 . What is the value of c